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Finding the Third Proportional to 94,092 and 201,306

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Solution

The third proportional to 94,092 and 201,306 is: 430,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,092 : 201,306 = 201,306 : x
  2. Step 2: Convert to fraction form
    94,092/201,306 = 201,306/x
  3. Step 3: Cross multiply
    94,092x = 201,306 × 201,306
  4. Step 4: Simplify right side
    94,092x = 40,524,105,636
  5. Step 5: Solve for x
    x = 40,524,105,636/94,092
  6. Step 6: Final answer
    x = 430,685.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.